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Finding the Third Proportional to 398,940 and 582,980

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Solution

The third proportional to 398,940 and 582,980 is: 851,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,940 : 582,980 = 582,980 : x
  2. Step 2: Convert to fraction form
    398,940/582,980 = 582,980/x
  3. Step 3: Cross multiply
    398,940x = 582,980 × 582,980
  4. Step 4: Simplify right side
    398,940x = 339,865,680,400
  5. Step 5: Solve for x
    x = 339,865,680,400/398,940
  6. Step 6: Final answer
    x = 851,921.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.